REVIEW ARTICLE: A review of the modelling of free-radical photopolymerization in the formation of holographic gratings

In this paper a brief review of the theoretical modelling of free-radical photopolymerization, which has been discussed in the literature, is presented. Particular attention is given to identifying the key contributions of each work and the common assumptions made in the derivation of each model. The overview enables the recognition of outstanding issues, which have not yet been incorporated into a fully comprehensive theoretical model of the complex photochemical processes that occur during photopolymerization.

[1]  T. Galstyan,et al.  Theoretical simulation of the dead zone in hologram recording on photopolymerizable materials , 2004 .

[2]  Pantazis Mouroulis,et al.  Diffusion Model of Hologram Formation in Dry Photopolymer Materials , 1994 .

[3]  Inmaculada Pascual,et al.  First-harmonic diffusion-based model applied to a polyvinyl-alcohol- acrylamide-based photopolymer , 2003 .

[4]  J. Sheridan,et al.  Photopolymer holographic recording material parameter estimation using a nonlocal diffusion based model , 2001 .

[5]  J. Sheridan,et al.  Comparison of holographic photopolymer materials by use of analytic nonlocal diffusion models. , 2002, Applied Optics.

[6]  Vyacheslav V. Obukhovsky,et al.  Spatial transfer of matter as a method of holographic recording in photoformers , 2000 .

[7]  Jun Qi,et al.  Nonlocal photopolymerization effect in the formation of reflective holographic polymer-dispersed liquid crystals , 2004 .

[8]  C. Fernández-Pousa,et al.  Dynamical behaviour of the optical properties of photopolymers and the lorentz-Lorenz formula , 2000 .

[9]  Pantazis Mouroulis,et al.  Extension of a Diffusion Model for Holographic Photopolymers , 1995 .

[10]  Sheridan,et al.  Nonlocal-response diffusion model of holographic recording in photopolymer , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  Yasuo Tomita,et al.  Real-time phase-shift measurement during formation of a volume holographic grating in nanoparticle-dispersed photopolymers , 2006 .

[12]  Atsushi Sato,et al.  Holographic edge-illuminated polymer Bragg gratings for dense wavelength division optical filters at 1550 nm. , 2003, Applied optics.

[13]  Feidhlim T. O'Neill,et al.  Diffusion-based model of holographic grating formation in photopolymers: generalized non-local material responses , 2001 .

[14]  Augusto Beléndez,et al.  Analysis of monomer diffusion in depth in photopolymer materials , 2007 .

[15]  Dusan Sabol,et al.  Improvement of the spatial frequency response of photopolymer materials by modifying polymer chain length , 2008 .

[16]  John T. Sheridan,et al.  Effects of absorption and inhibition during grating formation in photopolymer materials , 2006 .

[17]  Antonio Fimia,et al.  Highly sensitive photopolymerizable dry film for use in real time holography , 1998 .

[18]  Antonio Fimia,et al.  Photopolymerization model for holographic gratings formation in photopolymers , 2003 .

[19]  J. Sheridan,et al.  Adjusted intensity nonlocal diffusion model of photopolymer grating formation , 2017 .

[20]  B. Smolinska,et al.  Stable photo-sensitive polymer layers for holography , 1975 .

[21]  S. Gallego,et al.  Non-local polymerization driven diffusion based model: general dependence of the polymerization rate to the exposure intensity. , 2003, Optics express.

[22]  V. A. Barachevskii Photopolymerizable recording media for three-dimensional holographic optical memory , 2006 .

[23]  R. Sutherland,et al.  Phenomenological model of anisotropic volume hologram formation in liquid-crystal-photopolymer mixtures , 2004 .

[24]  Inmaculada Pascual,et al.  Characterization of a PVA/acrylamide photopolymer. Influence of a cross-linking monomer in the final characteristics of the hologram , 2003 .

[25]  Feng Zhao,et al.  Novel type of red-sensitive photopolymer system for optical storage , 1998, Optics & Photonics.

[26]  P Jost,et al.  Polymers for holographic recording: VI. Some basic ideas for modelling the kinetics of the recording process , 1997 .

[27]  Sergio Calixto,et al.  Dry polymer for holographic recording. , 1987, Applied optics.

[28]  A. Galstyan,et al.  Optimal period for diffraction gratings recorded in polymer dispersed liquid crystals , 2007 .

[29]  Inmaculada Pascual,et al.  Effect of a depth attenuated refractive index profile in the angular responses of the efficiency of higher orders in volume gratings recorded in a PVA/acrylamide photopolymer , 2004 .

[30]  Jin Hyuk Kwon,et al.  Analysis of temporal behavior of beams diffracted by volume gratings formed in photopolymers , 1999 .

[31]  Lambertus Hesselink,et al.  Microholographic multilayer optical disk data storage. , 2005, Applied optics.

[32]  B. K. Jenkins,et al.  Dynamics during holographic exposure in photopolymers for single and multiplexed gratings , 1999 .

[33]  S. Kawata,et al.  Three-dimensional microfabrication with two-photon-absorbed photopolymerization. , 1997, Optics letters.

[34]  B. K. Jenkins,et al.  First-harmonic diffusion model for holographic grating formation in photopolymers , 2000 .

[35]  Vincent Moreau,et al.  Characterization of dupont photopolymer: determination of kinetic parameters in a diffusion model. , 2002, Applied optics.

[36]  Michael R. Gleeson,et al.  Examination of the photoinitiation processes in photopolymer materials , 2008 .

[37]  A Márquez,et al.  Physical and effective optical thickness of holographic diffraction gratings recorded in photopolymers. , 2005, Optics express.

[38]  I. Aubrecht,et al.  Recording of holographic diffraction gratings in photopolymers : theoretical modelling and real-time monitoring of grating growth , 1998 .

[39]  A. Fimia,et al.  Holographic behavior of a photopolymer at high thicknesses and high monomer concentrations: mechanism of photopolymerization , 2001 .

[40]  Kalaichelvi Saravanamuttu,et al.  Sol−Gel Organic−Inorganic Composites for 3-D Holographic Lithography of Photonic Crystals with Submicron Periodicity , 2003 .

[41]  P. Mouroulis,et al.  Second order grating formation in dry holographic photopolymers , 1995 .

[42]  T. Gaylord,et al.  Analysis and applications of optical diffraction by gratings , 1985, Proceedings of the IEEE.

[43]  Thomas D Milster Horizons for Optical Data Storage , 2005 .

[44]  Kurt Kremer,et al.  A NEW MECHANISM FOR PENETRANT DIFFUSION IN AMORPHOUS POLYMERS : MOLECULAR DYNAMICS SIMULATIONS OF PHENOL DIFFUSION IN BISPHENOL-A-POLYCARBONATE , 1999 .

[45]  Justin R. Lawrence,et al.  Photopolymer holographic recording material , 2001 .

[46]  John T. Sheridan,et al.  Optimized holographic data storage: diffusion and randomization , 2006 .

[47]  R. Kostuk Dynamic hologram recording characteristics in DuPont photopolymers. , 1999, Applied optics.

[48]  J. MacElroy,et al.  Differential water sorption studies on Kevlar 49 and As-polymerized poly(p-phenylene terephthalamide): determination of water transport properties. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[49]  S. Gallego,et al.  Angular responses of the first and second diffracted orders in transmission diffraction grating recorded on photopolymer material. , 2003, Optics express.

[50]  R. R. A. Syms,et al.  Practical volume holography , 1990 .

[51]  Robert R McLeod,et al.  Three-dimensional direct-write lithography into photopolymer. , 2007, Applied optics.

[52]  Elias N. Glytsis,et al.  Holographic grating formation in photopolymers: analysis and experimental results based on a nonlocal diffusion model and rigorous coupled-wave analysis , 2003 .

[53]  Elias N. Glytsis,et al.  Characteristics of DuPont photopolymers for slanted holographic grating formations , 2004 .

[54]  Feidhlim T. O'Neill,et al.  Improvement of holographic recording material using aerosol sealant , 2001 .

[55]  Vyacheslav V. Obukhovsky,et al.  Photoformers: materials for holographic recording , 1996, Other Conferences.

[56]  Min Gu,et al.  Complex-shaped three-dimensional microstructures and photonic crystals generated in a polysiloxane polymer by two-photon microstereolithography , 2004 .

[57]  S. Gallego,et al.  Temporal analysis of grating formation in photopolymer using the nonlocal polymerization-driven diffusion model. , 2005, Optics express.

[58]  Dusan Sabol,et al.  Modeling the photochemical effects present during holographic grating formation in photopolymer materials , 2007 .

[59]  Kenjiro Watanabe,et al.  Analysis of Photopolymer Media of Holographic Data Storage Using Non-local Polymerization Driven Diffusion Model , 2007 .

[60]  A. Hale,et al.  Recording media that exhibit high dynamic range for digital holographic data storage. , 1999, Optics letters.

[61]  3-dimensional characterization of thick grating formation in PVA/AA based photopolymer. , 2006, Optics express.

[62]  T K Gaylord,et al.  Design, fabrication, and performance of preferential-order volume grating waveguide couplers. , 2000, Applied optics.

[63]  Justin R. Lawrence,et al.  Automated recording and testing of holographic optical element arrays , 2000 .

[64]  B K Jenkins,et al.  Holographic grating formation in photopolymers. , 1996, Optics letters.

[65]  D. Lougnot,et al.  Photopolymers for holographic recording. V. Self-processing systems with near infrared sensitivity , 1994 .

[66]  R. Larson,et al.  QUANTITATIVE MODEL OF VOLUME HOLOGRAM FORMATION IN PHOTOPOLYMERS , 1997 .

[67]  P. Koppa,et al.  Modeling material saturation effects in microholographic recording. , 2007, Optics express.

[68]  Michael R. Gleeson,et al.  Generalized non-local responses and higher harmonic retention in non-local polymerization driven diffusion model based simulations , 2004 .

[69]  A Márquez,et al.  3 Dimensional analysis of holographic photopolymers based memories. , 2005, Optics express.

[70]  Atsushi Fukumoto,et al.  Two-dimensional simulation of holographic data storage medium for multiplexed recording. , 2008, Optics express.

[71]  S. Gallego,et al.  Holographic photopolymer materials : nonlocal polymerization-driven diffusion under nonideal kinetic conditions , 2005 .

[72]  Michael R. Gleeson,et al.  Temporal response and first order volume changes during grating formation in photopolymers , 2006 .

[73]  D. H. Close,et al.  HOLOGRAM RECORDING ON PHOTOPOLYMER MATERIALS , 1969 .

[74]  A Fimia,et al.  Holography as a technique for the study of photopolymerization kinetics in dry polymeric films with a nonlinear response. , 1999, Applied optics.

[75]  Vicki L. Colvin,et al.  Epoxy Resin-Photopolymer Composites for Volume Holography , 2000 .

[76]  H. Kogelnik Coupled wave theory for thick hologram gratings , 1969 .

[77]  C. Fernández-Pousa,et al.  Holographic determination of the irradiance dependence of linear-chain polymerization rates in photopolymer dry films , 2000 .